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In practical situations, calculating approximations of concepts is the central step for knowledge reduction of dynamic covering decision information system, which has received growing interests of researchers in recent years. In this paper,…

Information Theory · Computer Science 2015-12-10 Guangming Lang

Knowledge reduction of dynamic covering information systems involves with the time in practical situations. In this paper, we provide incremental approaches to computing the type-1 and type-2 characteristic matrices of dynamic coverings…

Information Theory · Computer Science 2023-11-30 Mingjie Cai

The covering approximation space evolves in time due to the explosion of the information, and the characteristic matrixes of coverings viewed as an effective approach to approximating the concept should update with time for knowledge…

Information Theory · Computer Science 2015-03-13 Guangming Lang , Qingguo Li , Lankun Guo , Chunyong Wang

In a dynamic environment, knowledge reduction of information systems with variations of object sets, attribute sets and attribute values is an important topic of rough set theory, and related family-based attribute reduction of dynamic…

Information Theory · Computer Science 2018-09-05 Mingjie Cai , Guangming Lang

In practice, there are many dynamic covering decision information systems, and knowledge reduction of dynamic covering decision information systems is a significant challenge of covering-based rough sets. In this paper, we first study…

Information Theory · Computer Science 2017-12-05 Guangming Lang

In practical situations, there are many dynamic covering information systems with variations of attributes, but there are few studies on related family-based attribute reduction of dynamic covering information systems. In this paper, we…

Artificial Intelligence · Computer Science 2017-11-21 Guangming Lang

In this note, we show some improvements for Theorem 7 and Example 8 in Shiping Wang[Information Sciences 263(1), 186-197, 2014]. Concretely, we study further the sixth lower and upper approximations of sets for covering approximation…

Information Theory · Computer Science 2016-04-21 Guangming Lang

Approximating the set of reachable states of a dynamical system is an algorithmic yet mathematically rigorous way to reason about its safety. Although progress has been made in the development of efficient algorithms for affine dynamical…

Systems and Control · Computer Science 2022-05-03 Sergiy Bogomolov , Marcelo Forets , Goran Frehse , Andreas Podelski , Christian Schilling , Frédéric Viry

The dynamic environment in the real world calls for the adaptive techniques for information filtering, namely to provide real-time responses to the changes of system data. Where many incremental algorithms are designed for this purpose,…

Information Retrieval · Computer Science 2009-11-26 Ci-Hang Jin , Jian-Guo Liu , Yi-Cheng Zhang , Tao Zhou

Estimation and inference in dynamic discrete choice models often relies on approximation to lower the computational burden of dynamic programming. Unfortunately, the use of approximation can impart substantial bias in estimation and results…

Econometrics · Economics 2020-10-23 Ben Deaner

In this document, some novel theoretical and computational techniques for constrained approximation of data-driven systems, are presented. The motivation for the development of these techniques came from structure-preserving matrix…

Optimization and Control · Mathematics 2019-07-22 Fredy Vides

This paper considers an optimization problem for a dynamical system whose evolution depends on a collection of binary decision variables. We develop scalable approximation algorithms with provable suboptimality bounds to provide…

Optimization and Control · Mathematics 2016-10-31 Insoon Yang , Samuel A. Burden , Ram Rajagopal , S. Shankar Sastry , Claire J. Tomlin

Earth observing satellites are powerful tools for collecting scientific information about our planet, however they have limitations: they cannot easily deviate from their orbital trajectories, their sensors have a limited field of view, and…

Artificial Intelligence · Computer Science 2026-02-18 Abigail Breitfeld , Alberto Candela , Juan Delfa , Akseli Kangaslahti , Itai Zilberstein , Steve Chien , David Wettergreen

This paper addresses the problem of mapping high-dimensional data to a low-dimensional space, in the presence of other known features. This problem is ubiquitous in science and engineering as there are often controllable/measurable features…

Machine Learning · Statistics 2024-01-01 Anh Tuan Bui

The dynamics of belief and knowledge is one of the major components of any autonomous system that should be able to incorporate new pieces of information. We show that knowledge base dynamics has interesting connection with kernel change…

Artificial Intelligence · Computer Science 2014-11-11 Radhakrishnan Delhibabu

Knowledge compilation studies the trade-off between succinctness and efficiency of different representation languages. For many languages, there are known strong lower bounds on the representation size, but recent work shows that, for some…

Artificial Intelligence · Computer Science 2020-11-30 Alexis de Colnet , Stefan Mengel

This paper mainly studies the rule acquisition and attribute reduction for formal decision context based on two new kinds of decision rules, namely I-decision rules and II-decision rules. The premises of these rules are object-oriented…

Artificial Intelligence · Computer Science 2021-07-08 Qian Hu , Keyun Qin

Indexing of static and dynamic sets is fundamental to a large set of applications such as information retrieval and caching. Denoting the characteristic vector of the set by B, we consider the problem of encoding sets and multisets to…

Data Structures and Algorithms · Computer Science 2018-09-17 Ran Ben Basat , Seungbum Jo , Srinivasa Rao Satti , Shubham Ugare

The reduction of dynamical systems has a rich history, with many important applications related to stability, control and verification. Reduction of nonlinear systems is typically performed in an exact manner - as is the case with…

Optimization and Control · Mathematics 2007-07-26 Paulo Tabuada , Aaron D. Ames , Agung Julius , George J. Pappas

Data-structure dynamization is a general approach for making static data structures dynamic. It is used extensively in geometric settings and in the guise of so-called merge (or compaction) policies in big-data databases such as Google…

Data Structures and Algorithms · Computer Science 2024-07-25 Claire Mathieu , Rajmohan Rajaraman , Neal E. Young , Arman Yousefi
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